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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 186.9-cm and a standard deviation of 2.1-cm.

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 186.9-cm and a standard deviation of 2.1-cm. For shipment, 11 steel rods are bundled together.

Find the probability that the average length of a randomly selected bundle of steel rods is between 186-cm and 188.7-cm.

P(186-cm <M< 188.7-cm) =_____________

Enter answer as a number accurate to 4 decimal places. Answers obtained using exactz-scores orz-scores rounded to 3 decimal places are accepted.

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